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Finding the Fourth Proportional to 34,535.16, 51,771.76 and 13,460.99

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Solution

The fourth proportional to 34,535.16, 51,771.76 and 13,460.99 is: 20,179.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,535.16 : 51,771.76 = 13,460.99 : x
  2. Step 2: Convert to fraction form
    34,535.16/51,771.76 = 13,460.99/x
  3. Step 3: Cross multiply
    34,535.16x = 51,771.76 × 13,460.99
  4. Step 4: Simplify right side
    34,535.16x = 696,898,851.13
  5. Step 5: Solve for x
    x = 696,898,851.13/34,535.16
  6. Step 6: Final answer
    x = 20,179.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.